Question

the sum of digits of a two digit number is 15 if the digits are reversed the number increased by 9 find the number.​

Answer 1

Answer:

hope the answer will help you

Answer 2

The number is 78.

Given: The sum of the digits of a two-digit number is 15. If the digits are reversed the number increased by 9,

To Find: The number.​

Solution:

Let the digit at the unit place be 'x'.

It is said that the sum of the digits is = 15

So, the digit at the ten's place = 15 - x

So, the original number = 10 × ( 15 - x ) + x

                                        = 150 - 9x

On reversing the digits, we have 'x' at the ten's place and ( 15 - x ) at the unit's place.

So, the reversed number is = 10x + ( 15 - x )

                                              = 9x + 15

According to the information given, we can frame an equation as;

            ( 9x + 15 ) - ( 150 - 9x ) = 9

        ⇒  9x + 9x - 135 = 9

        ⇒  18x = 144

        ⇒   x  =  8

So, the original number is  =  150 - 9x = 150 - ( 9 × 8 )

                                            = 78

Hence, the number is 78.

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